Question

t.3 pythagorean theorem: find the missing leg or hypotenuse l...
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = meters

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here \(a = 48\), \(b = 20\). So \(c^{2}=48^{2}+20^{2}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(48^{2}=48\times48 = 2304\), \(20^{2}=20\times20=400\). Then \(c^{2}=2304 + 400\).

Step3: Sum the values

\(c^{2}=2304+400=2704\).

Step4: Find \(c\)

\(c=\sqrt{2704}\). Since \(52\times52 = 2704\), \(c = 52\).

Answer:

\(52\) meters